Interpolation and approximation of curves and surfaces using Pólya polynomials

Phillip Barry, Ronald N. Goldman

Research output: Contribution to journalArticlepeer-review

10 Scopus citations

Abstract

A class of polynomial curves which is a generalization of the class of "Pólya curves" studied by R. Goldman [9-11] is introduced. This new scheme contains not only Bézier curves (of which Pólya curves are a generalization), but also Lagrange interpolating polynomials. Motives for studying this new class of curves are recounted and then the geometric properties of these curves are investigated. Surfaces are also briefly discussed.

Original languageEnglish (US)
Pages (from-to)137-148
Number of pages12
JournalCVGIP: Graphical Models and Image Processing
Volume53
Issue number2
DOIs
StatePublished - Mar 1991

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